The CIA-operated spy plane targeted a house in Chashma Pul area of Miranshah, the main town of North Waziristan Agency, a stronghold of Taliban and Al-Qaeda-linked militants on the Afghan border, early this morning.
This was the first missile strike in Pakistan since the landmark May 11 general election and the announcement of a new policy for the use of drones by President Barack Obama last week.
Local residents said several drones were seen hovering over the area after the attack.
The injured were taken to a nearby hospital, where officials described their condition as critical.
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The Foreign Office reacted strongly to the attack and a brief statement issued by spokesman Aizaz Ahmad Chaudhry said the Pakistan government had "serious concerns" over the US drone attack in North Waziristan.
"The government of Pakistan has consistently maintained that the drone strikes are counter-productive, entail loss of innocent civilian lives, have human rights and humanitarian implications and violate the principles of national sovereignty, territorial integrity and international law," the statement said.
Some TV news channels reported that the Taliban had denied the report about Rehman's death.
Pakistan's general election was won by the PML-N and Prime Minister-elect Nawaz Sharif, set to assume office in June, has said Washington must take Islamabad's concerns about drone strikes seriously.